Method of Three-Dimensional Representation of a Scene

1. A method of a three-dimensional synthetic representation of a terrain comprising: computing, by a vehicle piloting and navigation aid system, a terrain portion seen through a viewing system of the vehicle piloting and navigation aid system for a determined position of a vehicle, the vehicle piloting and navigation aid system comprising at least one of a navigation system, a cartographic database, and the viewing system to allow a display of synthetic images; computing, by the vehicle piloting and navigation aid system, a curvature of the terrain at each point for the determined terrain portion, wherein each point comprises a small unit of surface corresponding to a pixel displayed by the viewing system, and wherein the curvature corresponds to a variation of an orientation of the terrain; computing, as a function of the determined position of the vehicle and an orientation of the vehicle, a position on a screen of the viewing system based on the points for the determined position of the vehicle and the terrain portion, wherein computing the position on the screen of the viewing system further comprises: computing, for each point, a direction vector whose origin is located at a level of the respective point and whose vertex is located at a level of a reference point; computing, for each point, an angle of inclination between a direction of the vector normal to the terrain and a direction of the direction vector; computing a luminance of each point of the terrain portion according to a law, wherein the law is based on the curvature and the angle of inclination; computing, by the vehicle piloting and navigation aid system, a luminance of each point of the terrain portion according to a determined law, wherein the determined law is at least based on the curvature; and displaying, by the viewing system, the luminance of each point.

2. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein computing, as the function of the determined position of the vehicle and the orientation of the vehicle, the position on the screen of the viewing system based on the points for the determined position of the vehicle and the terrain portion, further comprises: computing a vector normal to the terrain at each point of the terrain portion.

3. The method of the three-dimensional synthetic representation of the terrain according to claim 2 , wherein the luminance of the points of the terrain is an increasing function of the angle of inclination.

4. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein computing the luminance of each point of the terrain portion according to the determined law, further comprising: computing a determined distance based on the determined position of the vehicle, of a representation of the terrain in the form of a grid, wherein the grid is a regular cross-ruling that is disposed on the terrain; displaying, by the viewing system, the grid in reference to the determined distance.

5. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein the luminance of the points of the terrain is an increasing function of the curvature.

6. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein the luminance of the points of the terrain is zero when the curvature of the terrain is below a certain threshold.

7. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein the luminance of the points of the terrain is a function of the distance from the vehicle.

8. The method of the three-dimensional synthetic representation of the terrain according to claim 7 , wherein the luminance of the points of the terrain decreases as the distance from the vehicle increases.

9. The method of the three-dimensional synthetic representation of the terrain according to claim 1 , wherein a graphical representation is fused with one or more types of three-dimensional representation of the terrain.

10. The method of the three-dimensional synthetic representation of the terrain according to claim 9 , wherein the graphical representation is fused with a representation of the terrain in the form of a shading.

11. The method of the three-dimensional synthetic representation of the terrain according to claim 9 , wherein the graphical representation is fused with a representation of the terrain in the form of a gradation of one or more colors, each color representing a determined altitude level.

12. A vehicle piloting and navigation aid system, comprising: at least one of a navigation system, a cartographic database, and a viewing system to allow a display of synthetic images; a processor; and a memory coupled to the processor for storing instructions, which when executed from the memory, cause the processor to perform operations for a three-dimensional synthetic representation of a terrain, the operations including: computing a terrain portion seen through the viewing system for a determined position of a vehicle, computing a curvature of the terrain at each point for the determined terrain portion, wherein each point comprises a small unit of surface corresponding to a pixel displayed by the viewing system, and wherein the curvature corresponds to a variation of an orientation of the terrain, computing, as a function of the determined position of the vehicle and an orientation of the vehicle, a position on a screen of the viewing system based on the points for the determined position of the vehicle and the terrain portion, wherein computing the position on the screen of the viewing system further comprises: computing, for each point, a direction vector whose origin is located at a level of the respective point and whose vertex is located at a level of a reference point; computing, for each point, an angle of inclination between a direction of the vector normal to the terrain and a direction of the direction vector; computing a luminance of each point of the terrain portion according to a law, wherein the law is based on the curvature and the angle of inclination, computing a luminance of each point of the terrain portion according to a determined law, wherein the determined law is at least based on the curvature, and displaying, by the viewing system, a luminance of each point.

13. The vehicle piloting and navigation aid system according to claim 12 , wherein the vehicle is an aircraft and the piloting and navigation aid system is an avionics system of the aircraft.